What is the Least Common Multiple of 89235 and 89247?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 89235 and 89247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89235 and 89247, than apply into the LCM equation.

GCF(89235,89247) = 3
LCM(89235,89247) = ( 89235 × 89247) / 3
LCM(89235,89247) = 7963956045 / 3
LCM(89235,89247) = 2654652015

Least Common Multiple (LCM) of 89235 and 89247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89235 and 89247. First we will calculate the prime factors of 89235 and 89247.

Prime Factorization of 89235

Prime Factorization of 89247

Now multiplying the highest exponent prime factors to calculate the LCM of 89235 and 89247.

LCM(89235,89247) = 3³ × 5¹ × 661¹ × 71¹ × 419¹
LCM(89235,89247) = 2654652015